{"id":"W1934471260","doi":"10.1109/ismvl.2015.29","title":"Some Classes of Centralizing Monoids on a Three-Element Set","year":2015,"lang":"en","type":"article","venue":"","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Unary operation; Element (criminal law); Set (abstract data type); Variable (mathematics); Mathematics; Ternary operation; Maximal element; Set function; Function (biology); Discrete mathematics; Algebra over a field; Computer science; Pure mathematics; Law; Mathematical analysis; Programming language","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001247952,0.0004406642,0.0004609658,0.001954085,0.001617523,0.002076223,0.0005122191,0.0005305793,0.002974126],"category_scores_gemma":[0.001640934,0.0003168236,0.00072305,0.001003583,0.002520931,0.002892685,0.001828389,0.001068504,0.0002839524],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001264542,"about_ca_system_score_gemma":0.0006655564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006186076,"about_ca_topic_score_gemma":0.0005286212,"domain_scores_codex":[0.9991856,0.0001297896,0.00007585889,0.000253851,0.0001854086,0.0001694439],"domain_scores_gemma":[0.998517,0.0005687237,0.0002887527,0.00016261,0.0002016871,0.0002612458],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005444123,0.00002162205,0.001727697,0.00004453342,0.00001293231,0.0001976699,0.0007969302,0.0003694277,0.003049966,0.9860763,0.0003516605,0.007296769],"study_design_scores_gemma":[0.00003945282,0.0001516265,0.004600812,0.00005276276,0.00004132456,0.001180997,0.0009754407,0.005410816,0.008516792,0.9614401,0.01752935,0.00006054757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8863251,0.001190017,0.08135372,0.0002501534,0.00009826454,0.0001005706,0.0004920197,0.0001696153,0.03002055],"genre_scores_gemma":[0.972847,0.0003761087,0.01978347,0.0001008718,0.0001268636,0.0001486082,0.0003844962,0.00003526255,0.00619734],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002974126,"threshold_uncertainty_score":0.009949446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1168869799157388,"score_gpt":0.325119311791334,"score_spread":0.2082323318755952,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}